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102024312 = 23313327001
BaseRepresentation
bin1100001010011…
…00010001111000
321002222101001020
412011030101320
5202104234222
614042422440
72346122655
oct605142170
9232871036
10102024312
1152654415
122a201a20
13181a2020
14d79ac2c
158e5465c
hex614c478

102024312 has 32 divisors (see below), whose sum is σ = 274681680. Its totient is φ = 31392000.

The previous prime is 102024283. The next prime is 102024331. The reversal of 102024312 is 213420201.

It is a junction number, because it is equal to n+sod(n) for n = 102024291 and 102024300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163189 + ... + 163812.

Almost surely, 2102024312 is an apocalyptic number.

102024312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102024312 is an abundant number, since it is smaller than the sum of its proper divisors (172657368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102024312 is a wasteful number, since it uses less digits than its factorization.

102024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327023 (or 327019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102024312 is about 10100.7084900021. The cubic root of 102024312 is about 467.2699919963.

Adding to 102024312 its reverse (213420201), we get a palindrome (315444513).

The spelling of 102024312 in words is "one hundred two million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 327001 654002 981003 1308004 1962006 2616008 3924012 4251013 7848024 8502026 12753039 17004052 25506078 34008104 51012156 102024312